Solve:
$\displaystyle X_n+_2 - 4X_n+_1 + 3X_n = 2\delta_(n2) - 2\delta_(n5) $


If: $\displaystyle X_6 = X_1 = 0$


Taking the Z Transform ($\displaystyle x$= x bar):


$\displaystyle z^2 x - 4zx + 3 = 2z^2 - 2z^5$

$\displaystyle x= 2z^2 - 2z^5/(z-3)(z-1) $


Uncertain what steps to take next. Thanks